Estimating the relative efficiency of various forms of prevention at different stages of a drug epidemic

Drug use and problems change dramatically over time in ways that are often described as reflecting an “epidemic cycle”. We use simulation of a model of drug epidemics to investigate how the relative effectiveness of different types of prevention varies over the course of such an epidemic. Specifically we use the so-called LHY model (see, Discussion Paper No. 251 of the Institute of Econometrics, OR, and Systems Theory, Vienna University of Technology, Vienna, Austria, 2000) which includes both “contagious” spread of initiation (a positive feedback) and memory of past use (a negative feedback), which dampens initiation and, hence, future use. The analysis confirms the common sense intuition that prevention is more highly leveraged early in an epidemic, although the extent to which this is true in this model is striking, particularly for campaigns designed to preserve or amplify awareness of the drug's dangers. The findings also suggest that the design of “secondary” prevention programs should change over the course of an epidemic.

[1]  G. G. Stokes "J." , 1890, The New Yale Book of Quotations.

[2]  James R. Chiesa,et al.  Diverting Children from a Life of Crime , 1996 .

[3]  G. Botvin,et al.  Long-term follow-up results of a randomized drug abuse prevention trial in a white middle-class population. , 1995, JAMA.

[4]  C. Peter Rydell,et al.  An Ounce of Prevention, a Pound of Uncertainty , 1999 .

[5]  A. J. Lotka UNDAMPED OSCILLATIONS DERIVED FROM THE LAW OF MASS ACTION. , 1920 .

[6]  J. Caulkins,et al.  A dynamic model of drug initiation: implications for treatment and drug control. , 1999, Mathematical biosciences.

[7]  Stephen Wolfram,et al.  The Mathematica Book , 1996 .

[8]  Bruce D. Johnson,et al.  IS THE U.S. EXPERIENCING AN INCIPIENT EPIDEMIC OF HALLUCINOGEN USE? , 2001, Substance use & misuse.

[9]  Jonathan P. Caulkins,et al.  A Dynamic Model of Drug Initiation , 2000 .

[10]  Tobler Ns,et al.  Meta-analysis of adolescent drug prevention programs: results of the 1993 meta-analysis. , 1997 .

[11]  John Kaplan,et al.  The Hardest Drug: Heroin and Public Policy , 1983 .

[12]  Jonathan P. Caulkins,et al.  Optimal Dynamic Allocation of Treatment and Enforcement in Illicit Drug Control , 2001, Oper. Res..

[13]  R M Bell,et al.  Preventing adolescent drug use: long-term results of a junior high program. , 1993, American journal of public health.

[14]  Jonathan P. Caulkins,et al.  Optimal Control of Drug Epidemics: Prevent and Treat--But Not at the Same Time?: Prevent and Treat--But Not at the Same Time? , 2000 .

[15]  Dave Capuzzi,et al.  Preventing Adolescent Drug Abuse. , 1984 .

[16]  Jonathan P. Caulkins,et al.  Optimal Control of Drug Epidemics , 2000 .

[17]  Michael Berry,et al.  Office of National Drug Control Policy , 2002 .

[18]  Vito Volterra,et al.  Leçons sur la théorie mathématique de la lutte pour la vie , 1931 .

[19]  K. Maguire,et al.  Sourcebook of criminal justice statistics, 1979 , 1981 .

[20]  M. Tamura Japan: stimulant epidemics past and present. , 1989, Bulletin on narcotics.

[21]  G. C. Lodge The American Disease , 1984 .

[22]  N. Tobler Meta-analysis of Adolescent Drug Prevention Programs: Results of the 1993 Meta-analysis Additional Criteria for a Subset of Higher Quality Experimental Studies Pooling Effect Sizes over Test Intervals for a Single Program , 1993 .

[23]  C. P. Rydell,et al.  Modeling the Demand for Cocaine , 1995 .

[24]  Bruce D. Johnson,et al.  The crack epidemic: Empirical findings support an hypothesized diffusion of innovation process , 1996 .

[25]  Jonathan P. Caulkins,et al.  The Dynamic Character of Drug Problems , 2002 .

[26]  F. Bass A new product growth model for consumer durables , 1976 .

[27]  O. Diekmann,et al.  Mathematical Epidemiology of Infectious Diseases: Model Building, Analysis and Interpretation , 2000 .

[28]  A. Hamid The developmental cycle of a drug epidemic: the cocaine smoking epidemic of 1981-1991. , 1992, Journal of psychoactive drugs.

[29]  Giuseppe Schinaia,et al.  The Mover-Stayer Model for the HIV/AIDS Epidemic in Action , 1998, Interfaces.

[30]  Polly A. Phipps,et al.  The Comparative Costs and Benefits of Programs To Reduce Crime. Version 4.0. , 2001 .